Inverse Function of ln(x)

What is the inverse function of the natural logarithm of x?

The natural logarithm function ln(x) is the inverse function of the exponential function e^x.

When the natural logarithm function is:

f (x) = ln(x),  x>0

Then the inverse function of the natural logarithm function is the exponential function:

f ^-1(x) = e^x

So the natural logarithm of the exponent of x is x:

f (f ^-1(x)) = ln(e^x) = x

Or

f ^-1(f (x)) = e^ln(x) = x

 

Natural logarithm of one ►

 

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See also

• Natural logarithm calculator
• Logarithm calculator
• Natural logarithm
• Ln of one
• Ln of e
• Ln of infinity
• Ln of negative number